Modeling the spread of seasonal epidemiological diseases: Theory and applications

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Abstract

In this paper we study the existence and uniqueness of periodic solutions of seasonal epidemiological disease, by using a continuation theorem based on coincidence degree theory. We obtain criteria for the existence, uniqueness and global asymptotic stability of the periodic solution of the system. Examples related to the transmission of respiratory syncytial virus are included. © 2007 Elsevier Ltd. All rights reserved.

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Jódar, L., Villanueva, R. J., & Arenas, A. (2008). Modeling the spread of seasonal epidemiological diseases: Theory and applications. Mathematical and Computer Modelling, 48(3–4), 548–557. https://doi.org/10.1016/j.mcm.2007.08.017

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